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Finding the Fourth Proportional to 1,002.74, 1,503.75 and 454.46

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Solution

The fourth proportional to 1,002.74, 1,503.75 and 454.46 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.74 : 1,503.75 = 454.46 : x
  2. Step 2: Convert to fraction form
    1,002.74/1,503.75 = 454.46/x
  3. Step 3: Cross multiply
    1,002.74x = 1,503.75 × 454.46
  4. Step 4: Simplify right side
    1,002.74x = 683,394.23
  5. Step 5: Solve for x
    x = 683,394.23/1,002.74
  6. Step 6: Final answer
    x = 681.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.